Find the median and mean of the data set below:14, comma, 16, comma, 48, comma, 22, comma, 50, comma, 3914,16,48,22,50,39
Question
Find the median and mean of the data set below:
14, 16, 48, 22, 50, 39
Solution
Sure, let's start with arranging the data set in ascending order: 14, 16, 22, 39, 48, 50.
- To find the median: The median is the middle value of a data set. Since we have an even number of data points, we need to find the average of the two middle numbers.
The two middle numbers in our data set are 22 and 39.
So, (22 + 39) / 2 = 30.5.
Therefore, the median of the data set is 30.5.
- To find the mean: The mean is the average of all the numbers in the data set.
To find the mean, we add up all the numbers and then divide by the number of numbers.
So, (14 + 16 + 22 + 39 + 48 + 50) / 6 = 189 / 6 = 31.5.
Therefore, the mean of the data set is 31.5.
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